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MariettaO [177]

3 years ago

13

What is the solution to this system of equations? On a coordinate plane, 2 lines intersect at (negative 6, negative 2). What is

the solution to the system of equations? (–6, –2) (–2, 6) (6, 2) (–2, –6)

2 answers:

Anna007 [38]3 years ago

7 0

Answer: The answer is (-6,-2)

Blababa [14]3 years ago

6 0

Answer:

A

Step-by-step explanation:

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A second important result is that electrons will fill the lowest energy states available. This would seem to indicate that every

Assoli18 [71]

Answer:

8

Explanation:

1)<u> Principal quantum number, n = 2</u>

n is the principal quantum number and indicates the main energy level.

<u>2) Second quantum number, ℓ</u>

The second quantum number, ℓ, is named, Azimuthal quantum number.

The possible values of ℓ are from 0 to n - 1.

Hence, since n = 2, there are two possible values for ℓ: 0, and 1.

This gives you two shapes for the orbitals: 0 corresponds to "s" orbitals, and 1 corresponds to "p" orbitals.

<u>3) Third quantum number, mℓ</u>

The third quantum number, mℓ, is named magnetic quantum number.

The possible values for mℓ are from - ℓ to + ℓ.

Hence, the poosible values for mℓ when n = 2 are:

for ℓ = 0: mℓ = 0

for ℓ = 1, mℓ = -1, 0, or +1.

<u>4) Fourth quantum number, ms.</u>

This is the spin number and it can be either +1/2 or -1/2.

Therfore the full set of possible states (different quantum number for a given atom) for n = 2 is:

(2, 0, 0 +1/2)
(2, 0, 0, -1/2)
(2, 1, - 1, + 1/2)
(2, 1, -1, -1/2)
(2, 1, 0, +1/2)
(2, 1, 0, -1/2)
(2, 1, 1, +1/2)
(2, 1, 1, -1/2)

That is a total of <u>8 different possible states</u>, which is the answer for the question.

8 0

3 years ago

The length of a rectangle is 2x+1 and the width is 4x-3. Write an expression to calculate the area. (Note: Area= length • width)

maw [93]

(4x-3)(2x+1) expand the brackets: 8x^2 -2x -3 = area

7 0

2 years ago

Luisa solves for x in the equation 9(1/3) + 8x = 4( 2x + 3/4)

Maru [420]

Answer:

x = all real numbers because this equation is an identity

Step-by-step explanation:

9 (1/3) = 9*1/3 = 3

3 + 8x = 4(2x + 3/4)

3 + 8x = 8x + 3

x = all real numbers because this equation is an identity

7 0

2 years ago

Read 2 more answers

Find the quotient of these Complex Numbers. <br><br><br> (5-i) / (3+2i)

JulsSmile [24]

Let the given complex number

z = x + ix = $\dfrac{5-i}{3+2i}$

We have to find the standard form of complex number.

Solution:

∴ x + iy = $\dfrac{5-i}{3+2i}$

Rationalising numerator part of complex number, we get

x + iy = $\dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}$

⇒ x + iy = $\dfrac{(5-i)(3-2i)}{3^2-(2i)^2}$

Using the algebraic identity:

(a + b)(a - b) = $a^{2}$ - $b^{2}$

⇒ x + iy = $\dfrac{15-10i-3i+2i^2}{9-4i^2}$

⇒ x + iy = $\dfrac{15-13i+2(-1)}{9-4(-1)}$ [ ∵ $i^{2} =-1$ ]

⇒ x + iy = $\dfrac{15-2-13i}{9+4}$

⇒ x + iy = $\dfrac{13-13i}{13}$

⇒ x + iy = $\dfrac{13(1-i)}{13}$

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

5 0

3 years ago

Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a

just olya [345]

Answer:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and $X \sim Bin(n=600, p =0.4)$

And we want this probability:

$P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.
[tex]np=600*0.4=240\geq 10$

$n(1-p)=600*(1-0.4)=360 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=600*0.4=240$

$\sigma=\sqrt{np(1-p)}=\sqrt{600*0.4(1-0.4)}=12$

And then $X \sim N (\mu = 240, \sigma= 12)$

And we are interested on the following probability:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

6 0

3 years ago